Question

The number of iron rods, each of length $7m$ and diameter $2cm$ that can be made out be made out of $0.88$ cubic meters of iron is $(\pi =\frac{22}{7})$

• A. $300$
• B. $400$
• C. $500$
• D. $600$

Answer 1

Answer: (B)

$400$

An iron rod is in a shape of a cylinder.
Given, length or height of the rod $=7m$ and diameter $=2cm$.

Hence, radius $=1cm=0.01m$
Volume of a Cylinder $=\pi R^{2}h$

Hence, number of iron rods that can be made $=\frac{\text{Total volume of iron}}{\text{Volume of one iron rod}}=\frac{0.88}{\frac{22}{7}\times {0.01}^2\times 700}=400$